Question
A vessel of capacity 1000 litres is full of milk. x
litres are removed and replaced with water, and this is done three times. If in the end there are 512 litres of water in the vessel, find x.Solution
ATQ, 1000 × (1 – x/1000)³ = 1000 – 512 1000 × ((1000 – x)/1000)³ = 488 ((1000 – x)/1000)³ = 488/1000 ((1000 – x)/1000)³ = 61/125 ((1000 – x)/1000)³ = (17/25)³ (1000 – x) = 17/25 × 1000 1000 – x = 680 x = 320
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